How do I find the volume if I don't have the height?

Kent has two similar cylindrical pipes, Pipe A and Pipe B. The radius of Pipe A is 6 cm, and the radius of Pipe B is 2 cm. What is the ratio of the volume of Pipe A to the volume of Pipe B?

The volume of the cylinder is calculated through the equation, V = πr²h. From the given, the ratio of the radii of Pipe A and Pipe B is 6:2 or 3:1. This is also the ratio of the heights of the Pipe. Therefore, the ratio of volume is,

V1 / V2 = π (3r) ²3h / (πr²h) = 27 / 1

Thus, the ratio of the volumes is 27:1